Pure Speculation 1: The professor may testify and/or authenticate emailed homework that shows Zimmerman had knowledge of SYG statute, then contrast this with Hannity interview where Zimmerman asserted he had never heard that phrase before incident. The purpose would be to show that Zimmerman made a conscious and informed decision to tailor his claims to fit statute, then lie about knowledge of statute.
Pure Speculation 2: Something in his homework is similar to his assertions and the state will claim his fabricated story was prompted by those examples.
Pure speculation 3: Somewhere in his coursework, Zimmerman used a "he reached for the gun" or "he was smothering me" example.
Less Dramatic Speculation: The state will use his coursework to rebut or explain away Zimmerman's spontaneous statements, asserting that they were calculated to achieve a desired effect that he has previously studied.